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Finding the Fourth Proportional to 6,659.16, 9,983.67 and 4,026.09

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Solution

The fourth proportional to 6,659.16, 9,983.67 and 4,026.09 is: 6,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.16 : 9,983.67 = 4,026.09 : x
  2. Step 2: Convert to fraction form
    6,659.16/9,983.67 = 4,026.09/x
  3. Step 3: Cross multiply
    6,659.16x = 9,983.67 × 4,026.09
  4. Step 4: Simplify right side
    6,659.16x = 40,195,153.95
  5. Step 5: Solve for x
    x = 40,195,153.95/6,659.16
  6. Step 6: Final answer
    x = 6,036.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.